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Finding the Fourth Proportional to 23,293.78, 32,140.15 and 19,532.14

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Solution

The fourth proportional to 23,293.78, 32,140.15 and 19,532.14 is: 26,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293.78 : 32,140.15 = 19,532.14 : x
  2. Step 2: Convert to fraction form
    23,293.78/32,140.15 = 19,532.14/x
  3. Step 3: Cross multiply
    23,293.78x = 32,140.15 × 19,532.14
  4. Step 4: Simplify right side
    23,293.78x = 627,765,909.42
  5. Step 5: Solve for x
    x = 627,765,909.42/23,293.78
  6. Step 6: Final answer
    x = 26,949.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.